Answer:
I'm Sorry I have a bit problem to solve this but maybe this explanation can help you .
A piecewise function is a function that has different formulas or functions for each interval of the domain. The graph of a piecewise function has different parts that correspond to each of its definitions.
Here is an example of a piecewise function:
$$f(x) = \begin{cases} x^2 & \text{if } x < 2 \\ 6 & \text{if } x = 2 \\ 10 - x & \text{if } 2 < x \leq 6 \end{cases}
To evaluate a piecewise function, we need to determine which formula to use based on the input value. For example, if we want to find the value of f(-1), we would use the first formula because -1 < 2. This gives us:
f(-1) = (-1)^2 = 1
If we want to find the value of f(3), we would use the third formula because 2 < 3 \leq 6. This gives us:
f(3) = 10 - 3 = 7
I hope this helps!